GCD of 343, 749, 76, 685 Calculator

Given Input numbers are 343, 749, 76, 685

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Greatest Common Divisior

We found the divisors of 343, 749, 76, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 343, 749, 76, 685 is 1.

Therefore, GCD of numbers 343, 749, 76, 685 is 1

Given Input Data is 343, 749, 76, 685

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 749 is 7 x 107

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 685 is 5 x 137

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(343, 749) = 36701

GCD(343, 749) = ( 343 x 749 ) / 36701

GCD(343, 749) = 256907 / 36701

GCD(343, 749) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 76

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(7, 76) = 532

GCD(7, 76) = ( 7 x 76 ) / 532

GCD(7, 76) = 532 / 532

GCD(7, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 685

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 685) = 685

GCD(1, 685) = ( 1 x 685 ) / 685

GCD(1, 685) = 685 / 685

GCD(1, 685) = 1

GCD of 343, 749, 76, 685 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 409, 748, 17, 575
• GCD of 739, 818, 95, 868
• GCD of 108, 135, 22, 242
• GCD of 874, 314, 16, 594
• GCD of 827, 601, 87, 695

1. What is the GCD of 343, 749, 76, 685?

GCD of 343, 749, 76, 685 is 1

2. Where do I get the detailed procedure to find GCD of 343, 749, 76, 685?

You can find a detailed procedure to find GCD of 343, 749, 76, 685 on our page.

3. How to find GCD of 343, 749, 76, 685 on a calculator?

You can find the GCD of 343, 749, 76, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.